Drawing and computing external rays in the multiple-spiral medallions of the Mandelbrot set

  • Romera M
  • Alvarez G
  • Arroyo D
 et al. 
  • 4


    Mendeley users who have this article in their library.
  • 2


    Citations of this article.


The multiple-spiral medallions are beautiful decorations of the Mandelbrot set. Computer graphics provide an invaluable tool to study the structure of these decorations with point symmetry (i.e., the medallions can be rotated 180° about a central point to form an identical structure). The multiple-spiral medallions are formed by an infinity of baby Mandelbrot sets. Until now, the external arguments of the external rays landing at the cusps of the cardioids of these baby Mandelbrot sets could not be calculated. Recently, a new algorithm has been proposed in order to calculate the external arguments in the Mandelbrot set. In this paper, we use an extension of this algorithm for the calculation of the binary expansions of the external arguments of the baby Mandelbrot sets in the multiple-spiral medallions. © 2008 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Binary expansions
  • External arguments
  • Mandelbrot set

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free